The height of women ages​ 20-29 is normally​ distributed, with a mean of 64.2 inches. Assume σ=2.8 inches. Are you more likely to randomly select 1 woman with a height less than 64.9 inches or are you more likely to select

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Related questions
Question
The height of women ages​ 20-29 is normally​ distributed, with a mean of
64.2
inches. Assume
σ=2.8
inches. Are you more likely to randomly select 1 woman with a height less than
64.9
inches or are you more likely to select a sample of
20
women with a mean height less than
64.9
​inches? Explain.
 
LOADING...
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LOADING...
Click the icon to view page 2 of the standard normal table.
 
 
 
What is the probability of randomly selecting 1 woman with a height less than
64.9
​inches?
 
enter your response here
​(Round to four decimal places as​ needed.)
12/4/21, 1:44 PM
Standard Normal Table (Page 2)
Area
.00
.01
.02
.03
.04
.05
.06
.07
08
.09
5000
.5398
0.0
5040
5080
5120
5239
5279
.5359
5160
5557
5199
5596
5319
0.1
5438
5478
.5517
5636
5675
.5714
5753
0.2
5793
5832
5871
.5910
5948
5987
.6026
6064
6103
6141
6406
6772
0.3
6179
6217
6255
.6293
6331
.6368
6443
.6480
6517
0.4
6554
6591
6628
.6664
6700
6736
6808
.6844
6879
.6915
.7019
7088
7422
7734
7123
7454
7764
0.5
5
6950
.6985
.7054
.7157
7190
7224
.7357
7673
0.6
7257
7291
.7324
.7389
.7486
7517
7549
7611
.7910
.7642
.7939
7704
.7995
0.7
7580
7794
7823
7852
0.8
.7881
7967
8023
8051
8078
8106
8133
0.9
8159
8186
8212
8238
8264
8289
8315
8340
8365
8389
8621
8830
1.0
8413
8438
.8461
8485
8508
8531
8554
8577
8599
8686
8708
8770
8962
1.1
8643
8665
8729
8749
8790
8810
1.2
8849
8869
8888
8907
8925
8944
8980
8997
.9015
9032
9192
1.3
9049
.9066
.9082
9099
9115
.9131
.9147
9162
9177
1.4
9207
.9222
.9236
.9251
9265
.9279
.9292
9306
.9319
9382
9495
.9418
.9525
9616
1.5
9332
.9345
9357
.9370
9394
.9406
9429
9441
1.6
.9452
9463
9474
.9484
9505
9515
.9535
.9545
1.7
.9554
.9564
9573
.9582
.9591
9599
9608
.9625
9633
1.8
.9641
.9649
9656
.9664
.9671
9678
9686
9693
9699
9706
1.9
.9713
.9719
9726
.9732
.9738
.9744
.9750
9756
.9761
.9767
2.0
9772
.9778
9783
9788
9793
.9798
9803
9808
.9812
.9817
2.1
9821
.9826
.9830
9834
9838
.9842
.9846
9850
.9854
.9857
9861
.9868
9871
9878
9906
.9929
2.2
.9864
9875
.9881
9884
.9887
9890
2.3
.9893
9896
.9898
9901
9904
.9909
9911
9913
9916
2.4
.9918
9920
.9922
.9925
9927
.9931
9932
9934
9936
2.5
.9938
9940
.9941
.9943
9945
.9946
.9948
.9949
9951
9952
2.6
.9953
9955
.9956
.9957
.9959
.9960
9961
.9962
.9963
9964
2.7
.9965
9966
9967
.9968
9969
9970
9971
.9972
.9973
9974
2.8
.9974
9975
9976
9977
.9977
9978
9979
9979
.9980
9981
.9986
.9990
2.9
9981
9982
9982
9983
.9984
9984
9985
9985
9986
3.0
9987
.9987
9987
9988
.9988
.9989
9989
.9989
9990
9992
9995
9996
.9997
3.1
9990
.9991
9991
9991
9992
.9992
9992
9993
.9993
3.2
9993
.9993
.9994
9994
9994
.9994
.9994
9995
.9995
.9995
9997
.9995
.9997
3.3
9995
9996
.9996
.9996
.9996
9996
.9997
3.4
9997
.9997
.9997
9997
.9997
9997
9998
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld=614984531&questionld=15&flushed=false&cld=6713727&back=https://www.ma.
1/1
Transcribed Image Text:12/4/21, 1:44 PM Standard Normal Table (Page 2) Area .00 .01 .02 .03 .04 .05 .06 .07 08 .09 5000 .5398 0.0 5040 5080 5120 5239 5279 .5359 5160 5557 5199 5596 5319 0.1 5438 5478 .5517 5636 5675 .5714 5753 0.2 5793 5832 5871 .5910 5948 5987 .6026 6064 6103 6141 6406 6772 0.3 6179 6217 6255 .6293 6331 .6368 6443 .6480 6517 0.4 6554 6591 6628 .6664 6700 6736 6808 .6844 6879 .6915 .7019 7088 7422 7734 7123 7454 7764 0.5 5 6950 .6985 .7054 .7157 7190 7224 .7357 7673 0.6 7257 7291 .7324 .7389 .7486 7517 7549 7611 .7910 .7642 .7939 7704 .7995 0.7 7580 7794 7823 7852 0.8 .7881 7967 8023 8051 8078 8106 8133 0.9 8159 8186 8212 8238 8264 8289 8315 8340 8365 8389 8621 8830 1.0 8413 8438 .8461 8485 8508 8531 8554 8577 8599 8686 8708 8770 8962 1.1 8643 8665 8729 8749 8790 8810 1.2 8849 8869 8888 8907 8925 8944 8980 8997 .9015 9032 9192 1.3 9049 .9066 .9082 9099 9115 .9131 .9147 9162 9177 1.4 9207 .9222 .9236 .9251 9265 .9279 .9292 9306 .9319 9382 9495 .9418 .9525 9616 1.5 9332 .9345 9357 .9370 9394 .9406 9429 9441 1.6 .9452 9463 9474 .9484 9505 9515 .9535 .9545 1.7 .9554 .9564 9573 .9582 .9591 9599 9608 .9625 9633 1.8 .9641 .9649 9656 .9664 .9671 9678 9686 9693 9699 9706 1.9 .9713 .9719 9726 .9732 .9738 .9744 .9750 9756 .9761 .9767 2.0 9772 .9778 9783 9788 9793 .9798 9803 9808 .9812 .9817 2.1 9821 .9826 .9830 9834 9838 .9842 .9846 9850 .9854 .9857 9861 .9868 9871 9878 9906 .9929 2.2 .9864 9875 .9881 9884 .9887 9890 2.3 .9893 9896 .9898 9901 9904 .9909 9911 9913 9916 2.4 .9918 9920 .9922 .9925 9927 .9931 9932 9934 9936 2.5 .9938 9940 .9941 .9943 9945 .9946 .9948 .9949 9951 9952 2.6 .9953 9955 .9956 .9957 .9959 .9960 9961 .9962 .9963 9964 2.7 .9965 9966 9967 .9968 9969 9970 9971 .9972 .9973 9974 2.8 .9974 9975 9976 9977 .9977 9978 9979 9979 .9980 9981 .9986 .9990 2.9 9981 9982 9982 9983 .9984 9984 9985 9985 9986 3.0 9987 .9987 9987 9988 .9988 .9989 9989 .9989 9990 9992 9995 9996 .9997 3.1 9990 .9991 9991 9991 9992 .9992 9992 9993 .9993 3.2 9993 .9993 .9994 9994 9994 .9994 .9994 9995 .9995 .9995 9997 .9995 .9997 3.3 9995 9996 .9996 .9996 .9996 9996 .9997 3.4 9997 .9997 .9997 9997 .9997 9997 9998 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld=614984531&questionld=15&flushed=false&cld=6713727&back=https://www.ma. 1/1
12/4/21, 1:44 PM
Standard Normal Table (Page 1)
Area
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
0003
- 3.4
- 3.3
- 3.2
- 3.1
0002
.0003
.0003
0004
.0003
0003
0003
.0003
0003
0003
0003
0004
.0004
0004
0004
.0004
.0005
.0005
0005
0005
0005
.0005
.0006
0006
0006
.0006
0006
.0007
0007
.0008
0011
.0015
.0021
0007
0007
0008
0008
0008
.0009
0009
.0009
0010
-3.0
- 2.9
- 2.8
0011
.0016
.0022
0012
.0017
.0023
.0032
0010
.0010
.0011
0012
0013
0013
0013
.0014
.0014
.0015
0016
0018
.0018
0019
0024
0033
0025
.0034
0026
0035
.0019
0020
0021
.0028
0023
-2.7
.0026
.0027
.0029
0030
0031
- 2.6
- 2.5
- 2.4
- 2.3
- 2.2
- 2.1
- 2.0
- 1.9
- 1.8
- 1.7
- 1.6
- 1.5
- 1.4
- 1.3
- 1.2
.0036
0037
.0038
.0039
.0040
0041
.0043
0044
0045
0047
.0048
.0049
.0051
1
.0052
.0054
0055
.0057
.0059
.0060
.0062
.0064
0066
.0068
.0069
0071
0073
.0075
0078
.0080
0082
0084
.0087
.0089
.0091
.0094
0096
.0099
0102
0104
0107
0129
.0166
0132
0170
0217
0274
0344
0139
0179
.0110
0113
.0116
.0119
0122
0125
.0136
.0143
0146
0150
.0154
0158
0162
.0174
.0183
0188
0192
.0197
0202
0207
0212
.0222
0228
.0233
0239
.0244
.0250
0256
0262
.0268
.0281
0287
0307
.0314
0392
.0485
.0294
0301
0375
0465
0322
0329
0336
.0351
0359
0401
0495
0409
0505
0618
.0436
0537
.0367
.0384
.04 18
0427
0446
.0455
0475
05 16
0526
0548
.0559
.0571
.0582
0594
0606
.0630
0643
.0655
0668
.0681
0694
.0708
.0721
0735
0749
.0764
0778
.0793
.0808
.0823
0838
.0853
.0869
0885
0901
.0918
0934
.0951
0968
.1038
.1230
.1446
.1685
0985
.1003
.1020
.1056
.1075
.1093
.1112
.1131
.1151
-1.1
.1170
.1190
.1210
.1251
.1271
.1292
.1314
.1335
.1357
- 1.0
-0.9
.1379
.1401
.1423
.1469
.1492
.1515
.1539
.1562
.1587
.1660
.1922
.1611
.1635
.1711
.1736
.1762
.1788
.1814
.1841
-0.8
.1867
.1894
.1949
.1977
2005
2033
2061
2090
2119
-0.7
2148
2177
2206
2236
2266
2296
2327
2358
.2389
2420
-0.6
2451
2483
2514
2546
2578
2611
2643
2676
2709
2743
-0.5
2776
2810
2843
2877
2912
2946
2981
3015
3050
3085
-0.4
3121
3156
3192
3228
3264
3300
3336
3372
3409
3446
-0.3
3483
3520
3557
3594
3632
3669
3707
3745
3783
3821
3936
4325
4721
4052
4443
4840
-0.2
3859
3897
3974
4013
4090
4129
4168
4207
-0.1
4247
4286
4364
4404
4483
4522
4562
4602
-0.0
4641
4681
4761
4801
4880
4920
4960
5000
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld=614984531&questionld=15&flushed=false&cld=6713727&back=https://www.ma.
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Transcribed Image Text:12/4/21, 1:44 PM Standard Normal Table (Page 1) Area .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 0003 - 3.4 - 3.3 - 3.2 - 3.1 0002 .0003 .0003 0004 .0003 0003 0003 .0003 0003 0003 0003 0004 .0004 0004 0004 .0004 .0005 .0005 0005 0005 0005 .0005 .0006 0006 0006 .0006 0006 .0007 0007 .0008 0011 .0015 .0021 0007 0007 0008 0008 0008 .0009 0009 .0009 0010 -3.0 - 2.9 - 2.8 0011 .0016 .0022 0012 .0017 .0023 .0032 0010 .0010 .0011 0012 0013 0013 0013 .0014 .0014 .0015 0016 0018 .0018 0019 0024 0033 0025 .0034 0026 0035 .0019 0020 0021 .0028 0023 -2.7 .0026 .0027 .0029 0030 0031 - 2.6 - 2.5 - 2.4 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 - 1.3 - 1.2 .0036 0037 .0038 .0039 .0040 0041 .0043 0044 0045 0047 .0048 .0049 .0051 1 .0052 .0054 0055 .0057 .0059 .0060 .0062 .0064 0066 .0068 .0069 0071 0073 .0075 0078 .0080 0082 0084 .0087 .0089 .0091 .0094 0096 .0099 0102 0104 0107 0129 .0166 0132 0170 0217 0274 0344 0139 0179 .0110 0113 .0116 .0119 0122 0125 .0136 .0143 0146 0150 .0154 0158 0162 .0174 .0183 0188 0192 .0197 0202 0207 0212 .0222 0228 .0233 0239 .0244 .0250 0256 0262 .0268 .0281 0287 0307 .0314 0392 .0485 .0294 0301 0375 0465 0322 0329 0336 .0351 0359 0401 0495 0409 0505 0618 .0436 0537 .0367 .0384 .04 18 0427 0446 .0455 0475 05 16 0526 0548 .0559 .0571 .0582 0594 0606 .0630 0643 .0655 0668 .0681 0694 .0708 .0721 0735 0749 .0764 0778 .0793 .0808 .0823 0838 .0853 .0869 0885 0901 .0918 0934 .0951 0968 .1038 .1230 .1446 .1685 0985 .1003 .1020 .1056 .1075 .1093 .1112 .1131 .1151 -1.1 .1170 .1190 .1210 .1251 .1271 .1292 .1314 .1335 .1357 - 1.0 -0.9 .1379 .1401 .1423 .1469 .1492 .1515 .1539 .1562 .1587 .1660 .1922 .1611 .1635 .1711 .1736 .1762 .1788 .1814 .1841 -0.8 .1867 .1894 .1949 .1977 2005 2033 2061 2090 2119 -0.7 2148 2177 2206 2236 2266 2296 2327 2358 .2389 2420 -0.6 2451 2483 2514 2546 2578 2611 2643 2676 2709 2743 -0.5 2776 2810 2843 2877 2912 2946 2981 3015 3050 3085 -0.4 3121 3156 3192 3228 3264 3300 3336 3372 3409 3446 -0.3 3483 3520 3557 3594 3632 3669 3707 3745 3783 3821 3936 4325 4721 4052 4443 4840 -0.2 3859 3897 3974 4013 4090 4129 4168 4207 -0.1 4247 4286 4364 4404 4483 4522 4562 4602 -0.0 4641 4681 4761 4801 4880 4920 4960 5000 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld=614984531&questionld=15&flushed=false&cld=6713727&back=https://www.ma. 1/1
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